It is easier to push an empty box than a box full of books because the empty box has less mass and therefore less inertia, making it easier to change its state of motion.
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It is easier to push an empty box than a box full of books due to the difference in mass and inertia. Newton’s second law of motion states that force (F) is equal to mass (m) multiplied by acceleration (a). The filled box has greater mass due to the added weight of books, requiring more force to achieve the same acceleration. Additionally, the books inside increase the box’s inertia, resisting changes in motion. Consequently, more force is needed to overcome the inertia of the heavier, filled box, making it comparatively more challenging to push than the lighter, empty box.